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Income Taxes (Narrative) (Details) - USD ($)
 12 Months Ended
Aug. 31, 2025
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Income Taxes [Line Items]        
Increase (decrease) in valuation allowance $ 1,500,000      
Valuation allowance increase (decrease) 1,469,000 $ 1,154,000 $ (372,000)  
Non-deductible executive compensation 900,000 3,200,000 900,000  
Tax differential on foreign income 500,000      
Share-based compensation benefit deductions in excess of corresponding book expense   2,600,000    
Tax differential on income subject to both U.S. and foreign taxes   500,000 400,000  
GILTI tax benefit 0 0 200,000  
Income tax benefit (provision) (2,999,000) (9,644,000) (8,088,000)  
Income before income taxes $ 6,067,000 $ 33,046,000 $ 25,869,000  
Income tax rate (49.40%) (29.20%) (31.30%)  
Operating loss carryforwards $ 2,830,000      
Foreign tax credits 1,200,000      
Foreign income tax credit carryforward utilized 800,000      
Foreign income tax credit carryforward 384,000      
Total amount of unrecognized tax benefits that, if recognized, would affect the effective tax rate 1,100,000 $ 1,300,000 $ 1,300,000  
Unrecognized tax benefits 1,333,000 1,639,000 1,618,000 $ 1,597,000
Income tax interest and penalties expense     $ 100,000  
Balance of interest and penalties related to uncertain tax positions 400,000 $ 400,000    
United States – State And Local Income Tax [Member]        
Income Taxes [Line Items]        
Operating loss carryforwards $ 600,000